MacKenna-Plotinus: infinite

If this "infinite" means "of endless extension" there is no infinite among beings; there is neither an infinity-in-itself [Infinity Abstract] nor an infinity as an attribute to some body; for in the first case every part of that infinity would be infinite and in the second an object in which the infinity was present as an attribute could not be infinite apart from that attribute, could not be simplex, could not therefore be Matter. II IV. 7

Thus a close enough definition of Eternity would be that it is a life limitless in the full sense of being all the life there is and a life which, knowing nothing of past or future to shatter its completeness, possesses itself intact for ever. To the notion of a Life (a Living-Principle) all-comprehensive add that it never spends itself, and we have the statement of a Life instantaneously infinite. III VII. 5

Would it, then, be sound to define Time as the Life of the Soul in movement as it passes from one stage of act or experience to another? Yes; for Eternity, we have said, is Life in repose, unchanging, self-identical, always endlessly complete; and there is to be an image of Eternity-Time - such an image as this lower All presents of the Higher Sphere. Therefore over against that higher life there must be another life, known by the same name as the more veritable life of the Soul; over against that movement of the Intellectual Soul there must be the movement of some partial phase; over against that identity, unchangeableness and stability there must be that which is not constant in the one hold but puts forth multitudinous acts; over against that oneness without extent or interval there must be an image of oneness, a unity of link and succession; over against the immediately infinite and all-comprehending, that which tends, yes, to infinity but by tending to a perpetual futurity; over against the Whole in concentration, there must be that which is to be a Whole by stages never final. The lesser must always be working towards the increase of its Being, this will be its imitation of what is immediately complete, self-realized, endless without stage: only thus can its Being reproduce that of the Higher. III VII. 11

Again, suppose sensation vested in the "leading-principle" itself: then, a first alternative, it will be felt in some one part of that [some specifically sensitive phase], the other part excluding a perception which could serve no purpose; or, in the second alternative, there will be many distinct sensitive phases, an infinite number, with difference from one to another. In that second case, one sensitive phase will declare "I had this sensation primarily"; others will have to say "I felt the sensation that rose elsewhere"; but either the site of the experience will be a matter of doubt to every phase except the first, or each of the parts of the soul will be deceived into allocating the occurrence within its own particular sphere. IV II. 2

But what becomes of the soul’s infinity if it is thus fixed? The infinity is a matter of power: there is question, not of the soul’s being divisible into an infinite number of parts, but of an infinite possible effectiveness: it is infinity in the sense in which the Supreme God, also, is free of all bound. IV III. 8

The Universe is immensely varied, the container of all the Reason-Principles and of infinite and diverse efficacies. In man, we are told, the eye has its power, and the bones have their varied powers, and so with each separate part of hand and of foot; and there is no member or organ without its own definite function, some separate power of its own - a diversity of which we can have no notion unless our studies take that direction. What is true of man must be true of the universe, and much more, since all this order is but a representation of the higher: it must contain an untellably wonderful variety of powers, with which, of course, the bodies moving through the heavens will be most richly endowed. IV IV. 36

This cannot be: the faculty entire must be a unity; no such dividing is possible; this is no matter in which we can think of equal sections coinciding; the centre of consciousness has no such relation of equality with any sensible object. The only possible ratio of divisibility would be that of the number of diverse elements in the impinging sensation: are we then to suppose that each part of the soul, and every part of each part, will have perception? Or will the part of the parts have none? That is impossible: every part, then, has perception; the [hypothetical] magnitude, of soul and each part of soul, is infinitely divisible; there will therefore be in each part an infinite number of perceptions of the object, and therefore an infinitude of representations of it at our centre of consciousness. IV VII. 6

Two bodies [i.e., by hypothesis, the soul and the human body] are blended, each entire through the entirety of the other; where the one is, the other is also; each occupies an equal extension and each the whole extension; no increase of size has been caused by the juncture: the one body thus inblended can have left in the other nothing undivided. This is no case of mixing in the sense of considerable portions alternating; that would be described as collocation; no; the incoming entity goes through the other to the very minutest point - an impossibility, of course; the less becoming equal to the greater; still, all is traversed throughout and divided throughout. Now if, thus, the inblending is to occur point by point, leaving no undivided material anywhere, the division of the body concerned must have been a division into (geometrical) points: an impossibility. The division is an infinite series - any material particle may be cut in two - and the infinities are not merely potential, they are actual. IV VII. 8

Not all things can have a life merely at second hand; this would give an infinite series: there must be some nature which, having life primally, shall be of necessity indestructible, immortal, as the source of life to all else that lives. This is the point at which all that is divine and blessed must be situated, living and having being of itself, possessing primal being and primal life, and in its own essence rejecting all change, neither coming to be nor passing away. IV VII. 9

It is The Good since, being a power [being effective outwardly], it is the cause of the intelligent and intellective life as of life and intellect: for these grow from it as from the source of essence and of existence, the Source as being One, simplex and first because before it was nothing. All derives from this: it is the origin of the primal movement which it does not possess and of the repose which is but its absence of need; for neither rest nor movement can belong to that which has no place in which either could occur; centre, object, ground, all are alike unknown to it, for it is before all. Yet its Being is not limited; what is there to set bounds to it? Nor, on the other hand, is it infinite in the sense of magnitude; what place can there be to which it must extend, or why should there be movement where there is no lacking? All its infinitude resides in its power: it does not change and will not fail; and in it all that is unfailing finds duration. V V. 10

It is infinite also by right of being a pure unity with nothing towards which to direct any partial content. Absolutely One, it has never known measure and stands outside of number, and so is under no limit either in regard to any extern or within itself; for any such determination would bring something of the dual into it. And having no constituent parts it accepts no pattern, forms no shape. V V. 11

To "live at ease" is There; and, to these divine beings, verity is mother and nurse, existence and sustenance; all that is not of process but of authentic being they see, and themselves in all: for all is transparent, nothing dark, nothing resistant; every being is lucid to every other, in breadth and depth; light runs through light. And each of them contains all within itself, and at the same time sees all in every other, so that everywhere there is all, and all is all and each all, and infinite the glory. Each of them is great; the small is great; the sun, There, is all the stars; and every star, again, is all the stars and sun. While some one manner of being is dominant in each, all are mirrored in every other. V VIII. 4

The myth of Lynceus seeing into the very deeps of the earth tells us of those eyes in the divine. No weariness overtakes this vision, which yet brings no such satiety as would call for its ending; for there never was a void to be filled so that, with the fulness and the attainment of purpose, the sense of sufficiency be induced: nor is there any such incongruity within the divine that one Being there could be repulsive to another: and of course all There are unchangeable. This absence of satisfaction means only a satisfaction leading to no distaste for that which produces it; to see is to look the more, since for them to continue in the contemplation of an infinite self and of infinite objects is but to acquiesce in the bidding of their nature. V VIII. 4

Philosophy at a very early stage investigated the number and character of the Existents. Various theories resulted: some declared for one Existent, others for a finite number, others again for an infinite number, while as regards the nature of the Existents - one, numerically finite, or numerically infinite - there was a similar disagreement. These theories, in so far as they have been adequately examined by later workers, may be passed over here; our attention must be directed upon the results of those whose examination has led them to posit on their awn account certain well-defined genera. VI I. 1

These thinkers rejected pure unity on the ground of the plurality observed even in the Intellectual world; they rejected an infinite number as not reconcilable with the facts and as defying knowledge: considering the foundations of being to be "genera" rather than elements strictly so called, they concluded for a finite number. Of these "genera" some found ten, others less, others no doubt more. VI I. 1

Are we told that Motion is necessarily in time, inasmuch as it involves continuity? But, at this, sight, never ceasing to see, will also be continuous and in time. Our critic, it is true, may find support in that principle of proportion which states that you may make a division of no matter what motion, and find that neither the motion nor its duration has any beginning but that the division may be continued indefinitely in the direction of the motion’s origin: this would mean that a motion just begun has been in progress from an infinity of time, that it is infinite as regards its beginning. VI I. 16

The various speculations on the subject of the Existents and the principles of the Existents, whether they have entailed an infinite or a finite number, bodily or bodiless, or even supposed the Composite to be the Authentic Existent, may well be considered separately with the help of the criticisms made by the ancients upon them. VI I. 30

In asserting that Being is not a unity, we do not mean to imply a definite number of existences; the number may well be infinite: we mean simply that it is many as well as one, that it is, so to speak, a diversified unity, a plurality in unity. VI II. 2

How then does the universal Intellect produce the particulars while, in virtue of its Reason-Principle, remaining a unity? In other words, how do the various grades of Being, as we call them, arise from the four primaries? Here is this great, this infinite Intellect, not given to idle utterance but to sheer intellection, all-embracing, integral, no part, no individual: how, we ask, can it possibly be the source of all this plurality? Number at all events it possesses in the objects of its contemplation: it is thus one and many, and the many are powers, wonderful powers, not weak but, being pure, supremely great and, so to speak, full to overflowing powers in very truth, knowing no limit, so that they are infinite, infinity, Magnitude-Absolute. VI II. 21

It is certainly no numerical unity, no individual thing; for whatever you find in that sphere is a species, since it is divorced from Matter. This may be the import of the difficult words of Plato, that Substance is broken up into an infinity of parts. So long as the division proceeds from genus to species, infinity is not reached; a limit is set by the species generated: the lowest species, however - that which is not divided into further species - may be more accurately regarded as infinite. And this is the meaning of the words: "to relegate them once and for all to infinity and there abandon them." As for particulars, they are, considered in themselves, infinite, but come under number by being embraced by the [total] unity. VI II. 22

Moreover, every surface is limited; it is impossible for any surface to be infinite in extent. VI III. 14

But, admitting this one soul at every point, how is there a particular soul of the individual and how the good soul and the bad? The one soul reaches to the individual but nonetheless contains all souls and all intelligences; this, because it is at once a unity and an infinity; it holds all its content as one yet with each item distinct, though not to the point of separation. Except by thus holding all its content as one-life entire, soul entire, all intelligence - it could not be infinite; since the individualities are not fenced off from each other, it remains still one thing. It was to hold life not single but infinite and yet one life, one in the sense not of an aggregate built up but of the retention of the unity in which all rose. Strictly, of course, it is a matter not of the rising of the individuals but of their being eternally what they are; in that order, as there is no beginning, so there is no apportioning except as an interpretation by the recipient. What is of that realm is the ancient and primal; the relation to it of the thing of process must be that of approach and apparent merging with always dependence. VI IV. 14

Again, if we think of the divine nature as infinite - and certainly it is confined by no bounds - this must mean that it nowhere fails; its presence must reach to everything; at the point to which it does not reach, there it has failed; something exists in which it is not. VI V. 4

The Intellectual Beings, thus, are multiple and one; in virtue of their infinite nature their unity is a multiplicity, many in one and one over many, a unit-plurality. They act as entire upon entire; even upon the partial thing they act as entire; but there is the difference that at first the partial accepts this working only partially though the entire enters later. Thus, when Man enters into human form there exists a particular man who, however, is still Man. From the one thing Man - man in the Idea - material man has come to constitute many individual men: the one identical thing is present in multiplicity, in multi-impression, so to speak, from the one seal. VI V. 6

The Idea, impartible, gives nothing of itself to the Matter; its unbreaking unity, however, does not prevent it shaping that multiple by its own unity and being present to the entirety of the multiple, bringing it to pattern not by acting part upon part but by presence entire to the object entire. It would be absurd to introduce a multitude of Ideas of Fire, each several fire being shaped by a particular idea; the Ideas of fire would be infinite. Besides, how would these resultant fires be distinct, when fire is a continuous unity? and if we apply yet another fire to certain matter and produce a greater fire, then the same Idea must be allowed to have functioned in the same way in the new matter as in the old; obviously there is no other Idea. VI V. 8

The elements in their totality, as they stand produced, may be thought of as one spheric figure; this cannot be the piecemeal product of many makers each working from some one point on some one portion. There must be one cause; and this must operate as an entire, not by part executing part; otherwise we are brought back to a plurality of makers. The making must be referred to a partless unity, or, more precisely, the making principle must be a partless unity not permeating the sphere but holding it as one dependent thing. In this way the sphere is enveloped by one identical life in which it is inset; its entire content looks to the one life: thus all the souls are one, a one, however, which yet is infinite. VI V. 9

Time stands, thus, in analogy with the principle which holds fast in unchanging identity of essence: but that principle is infinite not only in duration but also in power: this infinity of power must also have its counterpart, a principle springing from that infinite power and dependent upon it; this counterpart will, after its own mode, run a course - corresponding to the course of Time - in keeping with that stationary power which is its greater as being its source: and in this too the source is present throughout the full extension of its lower correspondent. VI V. 11

Consider the life in any living thing; it does not reach only to some fixed point, unable to permeate the entire being; it is omnipresent. If on this again we are asked How, we appeal to the character of this power, not subject to quantity but such that though you divide it mentally for ever you still have the same power, infinite to the core; in it there is no Matter to make it grow less and less according to the measured mass. VI V. 12

It is so with the lesser gods; of many standing in their presence it is often one alone that sees them; that one alone was alone in the power to see. These are the gods who "in many guises seek our cities"; but there is That Other whom the cities seek, and all the earth and heaven, everywhere with God and in Him, possessing through Him their Being and the Real Beings about them, down to soul and life, all bound to Him and so moving to that unity which by its very lack of extension is infinite. VI V. 12

And there is the question How can the infinite have existence and remain unlimited: whatever is in actual existence is by that very fact determined numerically. VI VI. 3

How, then, do we come to use the term? Is it that we think of Number as we think of an infinite line, not with the idea that any such lire exists but that even the very greatest - that of the [path of the] universe, for example - may be thought of as still greater? So it might be with number; let it be fixed, yet we still are free to think of its double, though not of course to produce the doubled quantity since it is impossible to join to the actual what is no more than a conception, a phantasm, private to ourselves. VI VI. 17

It is our view that there does exist an infinite line, among the Intellectual Beings: for There a line would not be quantitative and being without quantity could be numerically infinite. This however would be in another mode than that of limitless extension. In what mode then? In that the conception of the Absolute Line does not include the conception of limit. VI VI. 17

It appears then that Number in that realm is definite; it is we that can conceive the "More than is present"; the infinity lies in our counting: in the Real is no conceiving more than has been conceived; all stands entire; no number has been or could be omitted to make addition possible. It might be described as infinite in the sense that it has not been measured - who is there to measure it? - but it is solely its own, a concentrated unit, entire, not ringed round by any boundary; its manner of being is settled for it by itself alone. None of the Real-Beings is under limit; what is limited, measured, is what needs measure to prevent it running away into the unbounded. There every being is Measure; and therefore it is that all is beautiful. Because that is a living thing it is beautiful, holding the highest life, the complete, a life not tainted towards death, nothing mortal there, nothing dying. Nor is the life of that Absolute Living-Form some feeble flickering; it is primal, the brightest, holding all that life has of radiance; it is that first light which the souls There draw upon for their life and bring with them when they come here. It knows for what purpose it lives, towards What it lives, from Whence it lives; for the Whence of its life is the Whither... and close above it stands the wisdom of all, the collective Intellectual-Principle, knit into it, one with it, colouring it to a higher goodness, by kneading wisdom into it, making its beauty still more august. Even here the august and veritably beautiful life is the life in wisdom, here dimly seen, There purely. For There wisdom gives sight to the seer and power for the fuller living and in that tenser life both to see and to become what is seen. VI VI. 18

In the realm of process anything coming to be must come to be something; to every thing its distinctive shape: but what shape can that have which no one has shaped? It can be none of existing things; yet it is all: none, in that beings are later; all, as the wellspring from which they flow. That which can make all can have, itself, no extension; it must be limitless and so without magnitude; magnitude itself is of the Later and cannot be an element in that which is to bring it into being. The greatness of the Authentic cannot be a greatness of quantity; all extension must belong to the subsequent: the Supreme is great in the sense only that there can be nothing mightier, nothing to equal it, nothing with anything in common with it: how then could anything be equal to any part of its content? Its eternity and universal reach entail neither measure nor measurelessness; given either, how could it be the measure of things? So with shape: granted beauty, the absence of shape or form to be grasped is but enhancement of desire and love; the love will be limitless as the object is, an infinite love. VI VII. 32

In what sense, then, do we assert this Unity, and how is it to be adjusted to our mental processes? Its oneness must not be entitled to that of monad and point: for these the mind abstracts extension and numerical quantity and rests upon the very minutest possible, ending no doubt in the partless but still in something that began as a partible and is always lodged in something other than itself. The Unity was never in any other and never belonged to the partible: nor is its impartibility that of extreme minuteness; on the contrary it is great beyond anything, great not in extension but in power, sizeless by its very greatness as even its immediate sequents are impartible not in mass but in might. We must therefore take the Unity as infinite not in measureless extension or numerable quantity but in fathomless depths of power. VI IX. 6